1. Which of the following is the volume of the solid obtained when the graph y=sin x on [0, ] is rotated about the x - axis?

A

B

C

D

2. Which one of the following NOT increasing function?

A f(x)=3-x

B f(x)=ln(x-100)

C f(x)=lnx2,x>0

D

3. be vectors in the space, Which one of the following is the cosine of the angle between

A

B

C

D

4. On the interval [0, 2], what is the solution set of sin 2x=cosx?

A

B

C

D

5. If p(x) = x - 4, q(x) = X2 + 8 and r(x) = X2 - 2x - 8, then which of the following is the most simplified expression of

A

B

C

D

6. Suppose a person has invested a fixed amount of capital for a year on an investment that pays 20% interest compounded semiannually. What is the effective interest rate of the investment at the end of the year?

A 21%

B 20.1%

C 20%

D 25%

7. Let the center of an ellipse be at (1, 4) and two of its vertices be at (10,4) and (1,2). What is the equation of the ellipse?

A 9(x - 1)2 + 4(y _4)2 =4

B 4(x - 1)2 + 81(y - 4)2 = 324

C 2(x - 1)2 + 9(y - 4)2 = 4

D (x - 1)2 + 9(y - 4)2 = 4

8. Let such that A+ 2Br=0, Then Which of the following is the value of y?

A 0

B -8

C

D any real number

9. Let For what value of a is f'(a)=1?

A

B

C

D 3

10. The following is a table of simple frequency distribution of a data with variable x.